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  • 标题:Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence
  • 本地全文:下载
  • 作者:Xiaohong Tian ; Rui Xu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/979217
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We investigate the stability of an SIR epidemic model with stage structure and time delay. By analyzing the eigenvalues of the corresponding characteristic equation, the local stability of each feasible equilibrium of the model is established. By using comparison arguments, it is proved when the basic reproduction number is less than unity, the disease free equilibrium is globally asymptotically stable. When the basic reproduction number is greater than unity, sufficient conditions are derived for the global stability of an endemic equilibrium of the model. Numerical simulations are carried out to illustrate the theoretical results.
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